List questions from irreducible-polynomials

Published on 14 Sep 2018 - 6:48

368

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Bijection polynomial maps on finite field

Published on 16 Sep 2018 - 1:30

171

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How i can reduce this polynomial in $\mathbb{Z}_2 [x]$?

Published on 20 Sep 2018 - 2:54

49

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Find $(a,b)$ such that $x^2-bx-a$ is irreducible and $\begin{bmatrix}0&a\\1&b\end{bmatrix}$ has order $8$

Published on 23 Sep 2018 - 18:20

46

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Check whether the polynomial is irreducible or not

Published on 25 Sep 2018 - 6:26

70

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Proof of a lemma about irreducible fractions

Published on 25 Sep 2018 - 17:20

296

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$f(x)=x^5-6x+2\in\Bbb Q[x]$ is not solvable by radicals implies it cannot have a root that lies in a radical extension of $\Bbb Q$

Published on 25 Sep 2018 - 18:31

64

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$n$ for which no polynomial of degree $n$ is irreducible in $\mathbb{Z}_n[X]$

Published on 28 Sep 2018 - 20:46

72

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Product of values of the derivative of a polynomial at its roots

Published on 30 Sep 2018 - 1:32

90

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Q. Reducible polynomials in $\mathbb{Z}[x]$

Published on 05 Oct 2018 - 1:46

161

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Factor, or decompose, a polynomial related to the Heptadecagon

Published on 05 Oct 2018 - 20:48

530

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Producing a field with $7^3$ elements

Published on 06 Oct 2018 - 16:46

41

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Prove if $(f,g)=1$ , then $(f^m,g^n)=1$

Published on 07 Oct 2018 - 16:37

256

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Prove that $\frac{(x+2)^p-2^p}{x}$ is irreducible in $\mathbb{Z[x]}$

Published on 07 Oct 2018 - 20:59

90

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Q. Irreducibility criteria

Published on 07 Oct 2018 - 21:28

List Question

The reducibility of a polynomial in coefficients of integer

Bijection polynomial maps on finite field

How i can reduce this polynomial in $\mathbb{Z}_2 [x]$?

Find $(a,b)$ such that $x^2-bx-a$ is irreducible and $\begin{bmatrix}0&a\\1&b\end{bmatrix}$ has order $8$

Check whether the polynomial is irreducible or not

Proof of a lemma about irreducible fractions

$f(x)=x^5-6x+2\in\Bbb Q[x]$ is not solvable by radicals implies it cannot have a root that lies in a radical extension of $\Bbb Q$

$n$ for which no polynomial of degree $n$ is irreducible in $\mathbb{Z}_n[X]$

Product of values of the derivative of a polynomial at its roots

Q. Reducible polynomials in $\mathbb{Z}[x]$

Factor, or decompose, a polynomial related to the Heptadecagon

Producing a field with $7^3$ elements

Prove if $(f,g)=1$ , then $(f^m,g^n)=1$

Prove that $\frac{(x+2)^p-2^p}{x}$ is irreducible in $\mathbb{Z[x]}$

Q. Irreducibility criteria

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